Finsler Coherence Hyperfractal Phase Space (FCHP)

This chapter develops Finsler Coherence Hyperfractal Phase Space (FCHP) as an ontological foundation for quantum fields, dimensional structure, and relativistic geometry. Its central thesis is that space and physical fields are expressions of a common coherence vacuum, with Zeta Naught serving as the invariant origin of coherence. Directional geometry, chirality, torsion, and hyperfractal reduction provide the organizing concepts through which differentiated physical structures are interpreted. The exposition introduces coherence fields and tensors, schematic action principles, and proposed correspondences between coherence reductions and the gauge structures U(1), SU(2), and SU(3), together with higher symmetry extensions. Coherence eigenvalues are presented as thresholds associated with the stabilization of symmetry layers and dimensional regimes. Within this account, mass, curvature, and field interactions reflect different expressions of coherence gradients and resonant cascades. The later sections extend this framework to observation and consciousness. The observer is treated as an asymmetry resonance operator, while consciousness is assigned a symmetry coherence function; their coupling is developed through the meta-operator. This construction connects physical emergence with dimensional selection, experience, and cosmological organization. The chapter also outlines prospective experimental directions involving anisotropy, neutrino behavior, condensed matter thresholds, and large-scale structure. Its contribution is an integrated conceptual framework with schematic mathematical relations and proposed avenues for empirical development. Keywords FCHP; coherence vacuum; Zeta Naught; hyperfractal dimensionality; gauge emergence; coherence eigenvalues; observer operators; meta-operator. Explainer video Watch on YouTube (Roots of Reality): https://www.youtube.com/watch?v=wjfT7WhcOpM The video, its thumbnail and description are included in this record.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23967101
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
preprint

Finsler Coherence Hyperfractal Phase Space (FCHP)

Philip Lilien
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Finsler Coherence Hyperfractal Phase Space (FCHP)

Philip Lilien
preprint en

Abstract

This chapter develops Finsler Coherence Hyperfractal Phase Space (FCHP) as an ontological foundation for quantum fields, dimensional structure, and relativistic geometry. Its central thesis is that space and physical fields are expressions of a common coherence vacuum, with Zeta Naught serving as the invariant origin of coherence. Directional geometry, chirality, torsion, and hyperfractal reduction provide the organizing concepts through which differentiated physical structures are interpreted. The exposition introduces coherence fields and tensors, schematic action principles, and proposed correspondences between coherence reductions and the gauge structures U(1), SU(2), and SU(3), together with higher symmetry extensions. Coherence eigenvalues are presented as thresholds associated with the stabilization of symmetry layers and dimensional regimes. Within this account, mass, curvature, and field interactions reflect different expressions of coherence gradients and resonant cascades. The later sections extend this framework to observation and consciousness. The observer is treated as an asymmetry resonance operator, while consciousness is assigned a symmetry coherence function; their coupling is developed through the meta-operator. This construction connects physical emergence with dimensional selection, experience, and cosmological organization. The chapter also outlines prospective experimental directions involving anisotropy, neutrino behavior, condensed matter thresholds, and large-scale structure. Its contribution is an integrated conceptual framework with schematic mathematical relations and proposed avenues for empirical development. Keywords FCHP; coherence vacuum; Zeta Naught; hyperfractal dimensionality; gauge emergence; coherence eigenvalues; observer operators; meta-operator. Explainer video Watch on YouTube (Roots of Reality): https://www.youtube.com/watch?v=wjfT7WhcOpM The video, its thumbnail and description are included in this record.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Finsler Coherence Hyperfractal Phase Space (FCHP) — Philip Lilien · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS